Order of Operations Section 1.2 Pages 8-14
1.2 order of operations part 1
Jun 17, 2015
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Order of Operations
Section 1.2
Pages 8-14
• In this section you use the ORDER OF OPERATIONS to evaluate operations.
• What do you remember about the order of operations?
• PEMDAS PE MD AS• (please excuse-- my dear-- aunt sally)• (Parentheses, exponents, Mult, Div, Add, Subt)
Divide.
Evaluate power.27 32 2 – 3 = 27 9 2 – 3
EXAMPLE 1
27 9 2 – 3 = 3 2 – 3
3 2 – 3 = 6 – 3 Multiply.
Evaluate expressions
Multiply and divide from left to right.STEP 3
Evaluate the expression 27 32 2 3.–
There are no grouping symbols, so go to Step 2.STEP 1
Evaluate powers.STEP 2
STEP 4Add and subtract from left to right.
6 – 3 = 3
EXAMPLE 1
Subtract.
ANSWER
The value of the expression 27 32 2 – 3 is 3.
Evaluate expressions
GUIDED PRACTICE for Example 1
Evaluate power.
There are no grouping symbols, so go to Step 2.
Evaluate powers.
STEP 2
STEP 1
1. Evaluate the expression 20 – 42
There are no Multiplication and Division symbol,so go to step 4
STEP 3
20 – 42 = 24 – 16
GUIDED PRACTICE for Example 1
STEP 4Add and subtract from left to right.
20 – 16 = 4 Subtract.
ANSWER
The value of the expression 20 – 42 = 4.
GUIDED PRACTICE for Example 1
Evaluate power.
There are no grouping symbols, so go to Step 2.
Evaluate powers.STEP 2
STEP 1
STEP 3
2. Evaluate the expression 2 32 + 4
2 32 = 2 9 + 4
2 9 + 4 = 18 + 4Multiply.
Multiply.
GUIDED PRACTICE for Example 1
STEP 4Add and subtract from left to right.
18 + 4 = 22 Add.
ANSWER
The value of the expression 2 32 + 4 is 22.
GUIDED PRACTICE for Example 1
Evaluate power.
There are no grouping symbols, so go to Step 2.
Evaluate powers.STEP 2
STEP 1
STEP 3Multiply and Divide from left to right.
Divide.
3. Evaluate the expression 32 23 + 6
32 23 + 6 = 32 8 + 6
32 8+ 6 = 4 + 6
24 – (9 + 1)
= 2[9]
EXAMPLE 2 Evaluate expressions with grouping symbols
Evaluate the expression.
a. 7(13 – 8) == 35
Subtract within parentheses.
Multiply.
b. 24 – (32 + 1) = Evaluate power.
= 24 – 10 Add within parentheses.
= 14 Subtract.
c. 2[30 – (8 + 13)] = Add within parentheses.
Subtract within brackets.
=18 Multiply.
7(5)
2[30 – 21]
EXAMPLE 3 Evaluate an algebraic expression
Evaluate the expression when x = 4.
9x3(x + 2)
Substitute 4 for x.
Add within parentheses.
1836= Multiply.
= 2 Divide.
= 9 4
3(4 + 2)
3 6 9 4
=
Standardized Test Practice
EXAMPLE 4
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